4. f(x)
In mathematics, f(x) represents a function that associates each input value x with an output value
In mathematics, f(x) represents a function that associates each input value x with an output value. It is also commonly referred to as a “function of x.” The letter “f” is typically used to denote a function, but other letters can be used as well.
Functions are a fundamental concept in mathematics and are used to describe relationships between variables. The input value x is called the independent variable, while the output value f(x) is referred to as the dependent variable. The function f(x) can be thought of as a rule or a formula that determines the value of f(x) based on the given input x.
For example, let’s consider the function f(x) = 2x + 3. This function takes an input value x, multiplies it by 2, and then adds 3 to get the output value f(x). If we substitute x = 5 into the function, we get f(5) = 2(5) + 3 = 10 + 3 = 13. So, in this case, f(5) = 13.
Functions can be graphed on a coordinate plane, where the x-axis represents the input values and the y-axis represents the output values. The graph of a function typically consists of a smooth curve or a series of connected points that represent all possible values of f(x) for different values of x.
In summary, f(x) represents a mathematical function that relates an input value x to an output value f(x), and it is used to describe various mathematical relationships and formulas.
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